How do you write polar coordinates of (3, -3)?

1 Answer
Jan 10, 2016

The coordinate (3,-3) is in Quadrant IV ....

Explanation:

r=sqrt(x^2+y^2)=sqrt(3^2+(-3)^2)=3sqrt2

Now, the reference angle in Quadrant IV is ...

reference angle =tan^1(3/3)=45^0

theta=270^o + 45^o=315^o

polar coordinate (r,theta)=(3sqrt2, 315^o)=(3sqrt2,(7pi)/4)

hope that helped